The Saronic Gulf Islands, also called the Argo-Saronic Islands, are an easy day trip from Athens, although any one of them would be worth a longer vacation too. There are four main islands, plus Salamina, the island closest to Athens and almost a suburb. It's not one that many visitors choose to visit for a holiday.
Aegina Town in the Saronic Gulf Islands
The four main islands, starting closest to Athens, are Aegina (or Egina), Poros, Hydra (or Idra or Ydhra) and finally Spetses, sometimes also called Spetsai. They're all rather different in style, with Aegina having the spectacular Temple of Aphaea, Hydra being tiny and traffic-free, Poros green and very close to the Peloponnese mainland, and Spetses being rather stylish and with Spetses Town being the biggest town in this Saronic group.
Aegina is very popular with Athenians wanting to get away for the weekend, so if you can avoid the weekend there are usually plenty of hotels to choose from, and some good restaurants to dine at.
Poros attracts European holidaymakers as well as Athenian day-trippers, while Hydra has always had more of a Bohemian feel and attracted musicians and artists like Leonard Cohen, various Rolling Stones and Pink Floyd. It's still a laid-back place with some stylish hotels and fine dining restaurants.
Spetses has a few good beaches but they're harder to get to and so it has never really developed as a big holiday hotspot: a good choice, then, if you don't like holiday hotspots!
Any of the islands is a good choice, though, and if you are planning to visit on a day-trip from Athens, there are fast ferries from Piraeus. The furthest island, Spetses, takes about 2 hrs 30 mins on a hydrofoil, while Aegina is less than an hour away.
This Athens dining guide doesn't list restaurants but gives practical advice on types of eating places, tipping, hotel breakfasts and picnics.
Spetses in the Saronic Gulf Islands of Greece is an easy day trip from Athens and has some good beaches. This page gives details of ferries and what to do.
Athens Airport hotels include the luxury Sofitel at the terminals, Holiday Inn near the airport, and others close by like the Hotel Pantheon.